Solve x + 7 - (8x)/3 = 7/6 - (5x)/2 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x+7-\frac{8x}{3}=\frac{7}{6}-\frac{5x}{2}$$

Solve for x

$x=-7$

Steps for Solving Linear Equation

Multiply both sides of the equation by $6$, the least common multiple of $3,6,2$.

$$6x+42-2\times 8x=7-3\times 5x$$

Multiply $-2$ and $8$ to get $-16$.

$$6x+42-16x=7-3\times 5x$$

Combine $6x$ and $-16x$ to get $-10x$.

$$-10x+42=7-3\times 5x$$

Multiply $-3$ and $5$ to get $-15$.

$$-10x+42=7-15x$$

Add $15x$ to both sides.

$$-10x+42+15x=7$$

Combine $-10x$ and $15x$ to get $5x$.

$$5x+42=7$$

Subtract $42$ from both sides.

$$5x=7-42$$

Subtract $42$ from $7$ to get $-35$.

$$5x=-35$$

Divide both sides by $5$.

$$x=\frac{-35}{5}$$

Divide $-35$ by $5$ to get $-7$.

$$x=-7$$